Abstract
This paper deals with the algorithm for computing the approximate solutions of variational inclusion problems in the setting of Hadamard manifolds. We discuss the convergence analysis of the proposed algorithm for the variational inclusion problem in the framework of Hadamard Manifolds. An example involving some indispensable conditions is presented. Applications of our problem, algorithm and results are given to variational inequalities and optimization problems in the setting of Hadamard manifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 219-237 |
| Number of pages | 19 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 19 |
| Issue number | 2 |
| State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018.
Keywords
- Hadamard manifold
- Maximal monotone vector fields
- Monotone vector fields
- Resolvent operators
- Variational inclusions
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics